Question

The x-intercept of the graph of f(x)=3log(x+5)-2 is:

A. 10^-2/3 -5
B. 10^2/3 -5
C. 10^2/3 +5
D. 10^-2/3 +5

Options are in image above

Answer 1

Answer:

B

Step-by-step explanation:

The point or points where a graph cuts the x axis can be found if you solve the equation f(x) = 0.

$3 log(x + 5) - 2 = 0 \\ 3 log(x + 5) = 2 \\ log(x + 5) = \frac{2}{3} \\ {10}^{ log(x + 5) } = {10}^{ \frac{2}{3} } \\ x + 5 = {10}^{ \frac{2}{3} } \\ x = {10}^{ \frac{2}{3} } - 5$

Answer 2

Answer:

I believe the answer is B here. Checked it on a calculator and it seems to be correct.

Step-by-step explanation: